Geodesic
Denjoy integral and Henstock-Kurzweil integral in vector lattices. II
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 2, pp. 401-417 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In a previous paper we defined a Denjoy integral for mappings from a vector lattice to a complete vector lattice. In this paper we define a Henstock-Kurzweil integral for mappings from a vector lattice to a complete vector lattice and consider the relation between these two integrals.
In a previous paper we defined a Denjoy integral for mappings from a vector lattice to a complete vector lattice. In this paper we define a Henstock-Kurzweil integral for mappings from a vector lattice to a complete vector lattice and consider the relation between these two integrals.
Classification : 26A39, 46B42, 46G05, 46G10, 46G12
Keywords: derivative; Denjoy integral; Henstock-Kurzweil integral; fundamental theorem of calculus; vector lattice; Riesz space 
@article{CMJ_2009_59_2_a8,
     author = {Kawasaki, Toshiharu},
     title = {Denjoy integral and {Henstock-Kurzweil} integral in vector lattices. {II}},
     journal = {Czechoslovak Mathematical Journal},
     pages = {401--417},
     year = {2009},
     volume = {59},
     number = {2},
     mrnumber = {2532374},
     zbl = {1224.46084},
     language = {en},
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}
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Kawasaki, Toshiharu. Denjoy integral and Henstock-Kurzweil integral in vector lattices. II. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 2, pp. 401-417. http://geodesic.mathdoc.fr/item/CMJ_2009_59_2_a8/